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What is the Least Common Multiple of 77104 and 77114?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 77104 and 77114 is 2972898928.

LCM(77104,77114) = 2972898928

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Least Common Multiple of 77104 and 77114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77104 and 77114, than apply into the LCM equation.

GCF(77104,77114) = 2
LCM(77104,77114) = ( 77104 × 77114) / 2
LCM(77104,77114) = 5945797856 / 2
LCM(77104,77114) = 2972898928

Least Common Multiple (LCM) of 77104 and 77114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77104 and 77114. First we will calculate the prime factors of 77104 and 77114.

Prime Factorization of 77104

Prime factors of 77104 are 2, 61, 79. Prime factorization of 77104 in exponential form is:

77104 = 24 × 611 × 791

Prime Factorization of 77114

Prime factors of 77114 are 2, 38557. Prime factorization of 77114 in exponential form is:

77114 = 21 × 385571

Now multiplying the highest exponent prime factors to calculate the LCM of 77104 and 77114.

LCM(77104,77114) = 24 × 611 × 791 × 385571
LCM(77104,77114) = 2972898928